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Finding the Fourth Proportional to 830, 1,145.40 and 457

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Solution

The fourth proportional to 830, 1,145.40 and 457 is: 630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    830 : 1,145.40 = 457 : x
  2. Step 2: Convert to fraction form
    830/1,145.40 = 457/x
  3. Step 3: Cross multiply
    830x = 1,145.40 × 457
  4. Step 4: Simplify right side
    830x = 523,445.52
  5. Step 5: Solve for x
    x = 523,445.52/830
  6. Step 6: Final answer
    x = 630.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.